Abstract
A magic square of order n is n×n matrix containing integers in such a way that each row and column add up to the same value. We generalize this notion to that of a 6×6 matrix with the help of a special geometrical figure without having much knowledge of algebra and another branch of mathematics.
Highlights
Introduction and Review of LiteratureA magic square is an n×n matrix filled with the integers in such a way that the sum of the numbers in each row, each column or diagonally remain same, in which one integer use at once only
We start with 6×6 matrix with the help of special geometry, which makes us able to obtain a magic square only having the knowledge of sum and multiplication of integers
We find optimized sum required
Summary
A magic square is an n×n matrix filled with the integers in such a way that the sum of the numbers in each row, each column or diagonally remain same, in which one integer use at once only. The reader can extract that there is no requirement of knowledge of algebra, number and its properties and many different branches of mathematics for magic squares. We start with 6×6 matrix with the help of special geometry, which makes us able to obtain a magic square only having the knowledge of sum and multiplication of integers. Any number 111(One hundred eleven) or above divisible by six (6) and with reminder three (3), can be achieved in all directions using each number once only as below: Example 1: We want the sum one hundred eleven (111). If multiples of constant 17 would have been subtracted, the difference between numbers would have been 1,3,5,7 and so on, for the numbers divisible by 6 with reminder 3
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